Normalized solutions for Schr\"odinger-Bopp-Podolsky systems in bounded domains
Analysis of PDEs
2026-03-11 v4
Abstract
We consider an elliptic system of Schr\"odinger-Bopp-Podolsky type in a bounded and smooth domain of R3 with a non constant coupling factor. This kind of system has been introduced in the mathematical literature in [14] and in the last years many contributions appeared. In particular here we present the results in [2] and [34] which show existence of solutions by means of the Ljusternik-Schnirelmann theory under different boundary conditions on the electrostatic potential.
Keywords
Cite
@article{arxiv.2504.10385,
title = {Normalized solutions for Schr\"odinger-Bopp-Podolsky systems in bounded domains},
author = {Gaetano Siciliano},
journal= {arXiv preprint arXiv:2504.10385},
year = {2026}
}
Comments
Survey paper. arXiv admin note: text overlap with arXiv:2006.14464